(5xn)+14=(9xn)-14

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Solution for (5xn)+14=(9xn)-14 equation:


Simplifying
(5xn) + 14 = (9xn) + -14

Reorder the terms:
14 + (5nx) = (9xn) + -14

Reorder the terms:
14 + (5nx) = -14 + (9nx)

Solving
14 + (5nx) = -14 + (9nx)

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '(-9nx)' to each side of the equation.
14 + (5nx) + (-9nx) = -14 + (9nx) + (-9nx)

Combine like terms: (5nx) + (-9nx) = -4nx
14 + -4nx = -14 + (9nx) + (-9nx)

Combine like terms: (9nx) + (-9nx) = 0
14 + -4nx = -14 + 0
14 + -4nx = -14

Add '-14' to each side of the equation.
14 + -14 + -4nx = -14 + -14

Combine like terms: 14 + -14 = 0
0 + -4nx = -14 + -14
-4nx = -14 + -14

Combine like terms: -14 + -14 = -28
-4nx = -28

Divide each side by '-4x'.
n = 7x-1

Simplifying
n = 7x-1

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